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Chapter 1

1. Write the following as a mixed number: 17/4.

1. 4 1/4

2. 4

3. 64

4. 20

Answer: 1

Rationale:

Divide the numerator by the denominator or 17 ÷ 4 = 4 with 1 left over so the answer is 4

with the 1 remainder over 4 or ¼

2. Write the following as a mixed number: 36/7.

1. 4 6/7

2. 5 1/7

3. 4 1/7

4. 5

Answer: 2

Rationale:

Divide the numerator by the denominator: 36 ÷ 7 = 5 with a remainder of 1 or 5 1/7

3. Write the following as a mixed number: 7/2.

1. 4 1/2

2. 5 1/2

3. 3 1/2

4. 3

Answer: 3

Rationale:

Divide the numerator by the denominator: 7 ÷ 2 = 3 with 1 remaining or 3 1/2

4. Write the following number as an improper fraction: 8 5/6.

1. 53/6

2. 40/6

3. 53/8

4. 45/6

Answer: 1

Rationale:

Multiply the whole number by the denominator, and add the numerator. 8 × 6 = 48 + 5 = 53.

Place this number over the denominator or 53/6

5. Write the following number as an improper fraction: 5 5/6.

1. 35/6

2. 30/6

3. 25/6

4. 41/6

Answer: 1

Rationale:

Multiply the whole number by the denominator and add the numerator: 5 × 6 = 30 + 5 = 35.

Place this number over the denominator: 35/6

6. Write the following number as an improper fraction: 8 1/3.

1. 11/3

2. 24/3

3. 8/3

4. 25/3

Answer: 4

Rationale:

Multiply the whole number by the denominator and add the numerator: 8 × 3 = 24 + 1 = 25

Place this number over the denominator: 25/3

7. Write 0.125 as a fraction in lowest terms and as a percentage.

1. 125/100; 1.25%

2. 25/100; 25%

3. 1/6; 12.5%

4. 1/8; 12.5%

Answer: 4

Rationale:

Write one hundred twenty-five thousandths as 125/1000, and then reduce the fraction to 1/8.

Move the decimal two places to the right yielding 12.5%

8. Write 0.2 as a fraction in lowest terms and as a percentage.

1. 1/50; 2%

2. 1/5; 20%

3. 2/100; 0.2%

4. 1/500; 0.002%

Answer: 2

Rationale:

Write 2 tenths as 2/10 and reduce to 1/5. Move the decimal point 2 places to the right yielding

20%

9. Write 0.49 as a fraction in lowest terms and as a percentage.

1. 49/100; 49%

2. 7/15; 49%

3. 49/100; 4.9%

4. ½; 4.9%

Answer: 1

Rationale:

Write 0.49 as 49/100 which cannot be reduced further. Move the decimal point 2 places to the

right to yield 49%

10. Write 0.75 as a fraction in lowest terms and as a percentage.

1. 75/100; 75%

2. 15/20; 7.5%

3. 15/20; 75%

4. ¾; 75%

Answer: 4

Rationale:

Write 0.75 as 75/100 and reduce to ¾. Move the decimal point 2 places to the right to yield

75%

11. Write 0.06 as a fraction in lowest terms and as a percentage.

1. 3/50; 60%

2. 6/10; 6%

3. 3/50; 6%

4. 3/5; 6%

Answer: 3

Rationale:

Write 0.06 as 6/100 and reduce to 3/50. Move the decimal point 2 places to the right to yield

6%.

12. Write 55% as a decimal number and a proper fraction in lowest terms.

1. 5.5; 55/100

2. 0.055; 55/1000

3. 0.55; 11/20

4. 0.0055; 11/200

Answer: 3

Rationale:

Move the decimal 2 places to the left or 0.55, place 55 over 100 and reduce to 11/20

13. Write 72% as a decimal number and a proper fraction in lowest terms.

1. 7.2; 72/1000

2. 7.2; 72/100

3. 0.72; 36/50

4. 0.72; 18/25

Answer: 4

Rationale:

Move the decimal 2 places to the left or 0.72. Place 72 over 100 and reduce to 18/25

14. Write 0.6% as a decimal number and a proper fraction in lowest terms.

1. 3/50; 0.06

2. 6/100; 0.60

3. 1/17; 0.06

4. 3/500; 0.006

Answer: 4

Rationale:

Move the decimal 2 places to the left or 0.006, place 6 over 1000 and reduce to 3/500

15. Write 4.5% as a decimal number and a proper fraction in lowest terms.

1. 0.45; 45/100

2. 0.045; 9/200

3. 0.0045; 45/10,000

4. 0.045; 45/1,000

Answer: 2

Rationale:

Move the decimal 2 places to the left or 0.045, place 45 over 1000 and reduce to 9/200

16. Write 25% as a decimal number and a proper fraction in lowest terms.

1. 2.5; 1/40

2. 0.025; 5/200

3. 0.25; 1/4

4. 0.25; 25/100

Answer: 3

Rationale:

Move the decimal 2 places to the left or 0.25, place 25 over 100 and reduce to 1/4

17. Write 3/5 as a decimal number and a percent.

1. 0.0166; 1.66%

2. 0.6; 60%

3. 0.15; 15%

4. 0.3; 30%

Answer: 2

Rationale:

Divide the denominator into the numerator: 3 ÷ 5 = 0.6. Move the decimal point two places to

the right yielding 60%

18. Convert 5/8 to a decimal number and a percent.

1. 1.6; 160%

2. 0.4; 40%

3. 0.625; 62.5%

4. 0.45; 45%

Answer: 3

Rationale:

Dividing the denominator into the numerator: 5 ÷ 8 = 0.625. Move the decimal point two

places to the right yielding 62.5%

19. Convert 9/19 to a decimal number rounded off to the nearest tenth, and to a percentage

rounded off to the nearest tenth of a percent.

1. 0.5; 47.4%

2. 0.47; 4.8%

3. 0.02; 2.1%

4. 0.4; 47.4%

Answer: 1

Rationale:

Divide the denominator into the numerator. 9 ÷ 19 = 0.4736… rounded off to 0.5. Move the

decimal point two places to the right yielding 47.4%

20. Write 3/5 as a decimal number and a percent.

1. 1.67; 167%

2. 0.6; 60%

3. 0.167; 16.7%

4. 0.06; 6%

Answer: 2

21. Reduce 36/48 to lowest terms.

1. 12/18

2. 18/24

3. 9/12

4. 3/4

Answer: 4

Rationale:

Divide numerator and denominator by 12 yielding 3/4.

22. Reduce 95/100 to lowest terms.

1. 4/5

2. 19/20

3. 24/25

4. 9.5/10

Answer: 2

Rationale:

Divide numerator and denominator by 5 yielding 19/20.

23. Reduce 24/36 to lowest terms.

1. 12/18

2. 3/4

3. 2/3

4. 6/9

Answer: 3

Rationale:

Divide numerator and denominator by 12 yielding 2/3.

24. Reduce the ratio 18:54 to a fraction in lowest terms.

1. 18/54

2. 1/3

3. 3/4

4. 1/2

Answer: 2

Rationale:

Convert the ratio to 18/54 and reduce to 1/3.

25. Reduce the ratio 10:75 to a fraction in lowest terms.

1. 1/7.5

2. 5/15

3. 2/15

4. 1/3

Answer: 3

Rationale:

Convert the ratio to 10/75 and reduce to 2/15.

26. Reduce the ration 12:24 to a fraction in lowest terms.

1. 1/3

2. 6/18

3. 2/4

4. 1/2

Answer: 4

Rationale:

Convert the ratio to 12/24 and reduce to 1/2.

27. Write 5/8 as an equivalent fraction with 96 in the denominator.

1. 96/154

2. 65/96

3. 60/96

4. 5/96

Answer: 3

Rationale:

5/8 × 12/12 = 60/96

28. Write 4/5 as an equivalent fraction with 100 in the denominator.

1. 100/80

2. 5/100

3. 75/100

4. 80/100

Answer: 4

Rationale:

4/5 × 20/20 = 80/100

29. Write 17/20 as an equivalent fraction with 100 in the denominator.

1. 85/100

2. 34/100

3. 4/100

4. 100/85

Answer: 1

Rationale:

17/20 × 5/5 = 85/100

30. Write 1/5 as an equivalent fraction with 25 in the denominator.

1. 25/5

2. 25/20

3. 5/25

4. 1/25

Answer: 3

Rationale:

1/5 × 5/5 = 5/25

31. Write 3/4 as an equivalent fraction with 100 in the denominator.

1. 75/100

2. 80/100

3. 100/25

4. 100/75

Answer: 1

Rationale:

¾ × 25/25 = 75/100

32. Round off 6.892489 to the hundredths place.

1. 6.9

2. 6.89

3. 6.8

4. 6.892

Answer: 2

Rationale:

The digit following the hundredths place is 2, so leave 6.89 alone

33. Round off 17.456 to the tenths place.

1. 17.5

2. 17.4

3. 17.46

4. 17.56

Answer: 1

Rationale:

The digits following the tenths place is 5 so add 1 to 4 yielding 17.5

34. Round off 3.5243 to the tenths place.

1. 3.6

2. 3.4

3. 3.5

4. 3.52

Answer: 3

Rationale:

The digit following the tenths place is 2 so leave the 5 alone yielding 3.5

35. Round down 9.6723 to the tenths place.

1. 9.7

2. 9.6

3. 9.67

4. 9.72

Answer: 2

Rationale:

The digit in the tenths place is 6, delete the remaining digits.

36. Round down 4.2894 to the hundredths place.

1. 4.3

2. 4.29

3. 4.28

4. 4.2

Answer: 3

Rationale:

The digit in the hundredths place is 8, delete the remaining digits.

37. Round down 4.0678 to the tenths place.

1. 4

2. 4.1

3. 4.06

4. 4.07

Answer: 2

Rationale:

The digit in the tenths place is 1, delete the remaining digits.

38. Add 4.55 and 0.035.

1. 4.9

2. 4.5035

3. 4.585

4. 4.515

Answer: 3

Rationale:

Line up the decimal points and add.

39. Add the following decimal numbers: 10.1 + 3.964.

1. 14.064

2. 13.974

3. 13.064

4. 14.974

Answer: 1

Rationale:

Line up the decimal points and add.

40. Add 4.834 + 3.962 + 1.083.

1. 8.879

2. 9.793

3. 9.879

4. 8.793

Answer: 3

Rationale:

Line up the decimal points and add.

41. Subtract 1.864 from 3.691.

1. 1.827

2. 1.823

3. 2.827

4. 0.827

Answer: 1

Rationale:

Line up the decimal points and subtract.

42. Subtract 0.068 from 5.543.

1. 4.863

2. 5.475

3. 5.863

4. 5.5362

Answer: 2

Rationale:

Line up the decimal points and subtract.

43. Subtract 2.4 from 10.

1. 7.6

2. 12.40

3. 9.76

4. 12.4

Answer: 1

Rationale:

Line up the decimal points and subtract.

44. Solve the following problem: 3.29 × 1.64. Round off the answer to the tenths place.

1. 5.4

2. 5.3

3. 53.4

4. 54.2

Answer: 1

Rationale:

3.29 × 1.64 = 5.3956 then round off to 5.4

45. Multiply 2.87 by 0.064 and round off to the hundredths place.

1. 0.19

2. 0.183

3. 0.1837

4. 0.18

Answer: 4

Rationale:

2.87 × 0.064 = 0.18368 rounded off to the hundredth place is 0.18

46. Multiply 2.4 by 0.5.

1. 1.2

2. 12

3. 0.12

4. 120

Answer: 1

Rationale:

2.4 × 0.5 = 1.2

47. Solve the following problem: 0.68 ÷ 0.4.

1. 170

2. 17

3. 1.7

4. 0.17

Answer: 3

Rationale:

Move the decimal point one place to the right on each number, then divide 6.8 by 4 = 1.7

48. Divide 8.6 by 0.5.

1. 1.72

2. .172

3. 17.2

4. 172

Answer: 3

Rationale:

Move the decimal point one place to the right on each number then divide 86 by 5 = 17.2

49. Divide 8.6 by 0.02.

1. 0.172

2. 4.3

3. 430

4. 0.43

Answer: 3

Rationale:

Move the decimal point two places to the right and then divide 860 by 2 = 430

50. Multiply 0.089 by 1,000.

1. 89

2. 8.9

3. 0.89

4. 0.089

Answer: 1

Rationale:

Move the decimal point three places to the right

51. Multiply 0.84 by 100.

1. 8.4

2. 84

3. 840

4. 0.084

Answer: 2

Rationale:

Move the decimal point two places to the right yielding 84.

52. Multiply 34.2 by 100.

1. 3.42

2. 342

3. 3,420

4. 34,200

Answer: 3

Rationale:

Move the decimal point two places to the right yielding 3420

53. Divide 0.89 by 100.

1. 8.9

2. 0.89

3. 0.089

4. 0.0089

Answer: 4

Rationale:

Move the decimal point two places to the left yielding 0.0089

54. Divide 1.24 by 10.

1. 0.0124

2. 0.124

3. 12.4

4. 124

Answer: 2

Rationale:

Move the decimal point one place to the left yielding 0.124

55. Divide 566.8 by 1,000.

1. 5,668

2. 56.68

3. 5.668

4. 0.5668

Answer: 4

Rationale:

Move the decimal point three places to the left.

56. Write the numbers 0.289, 0.395, 0.0289, and 0.0395 in order of size from smallest to

largest. ______

Answer: 0.0289; 0.0395; 0.289; 0.395

Rationale:

Put in a column and line up the decimal points.

57. Write the numbers 0.003, 0.034, 0.38, and 0.0003 in order of size from smallest to largest.

______

Answer: 0.0003; 0.003; 0.034; 0.38

Rationale:

Place the numbers in a column and line up the decimal points.

58. Write the numbers 0.3, 0.4, 0.33, and 0.111 in order of size from smallest to largest.

______

Answer: 0.111; 0.3; 0.33; 0.4

Rationale:

Place the numbers in a column and line up the decimal points.

59. Which is larger: 0.21 or 0.7? ______

Answer: 0.7

Rationale:

0.7 is larger than 0.21.

60. Which is larger: 2.45 or 2.6? ______

Answer: 2.6

Rationale:

2.6 is larger than 2.45.

61. Which is largest: 0.3, 0.33, or 0.198? ______

Answer: 0.33

Rationale:

0.33 is larger than both 0.3 and 0.198.

62. Add 5 7/8 and 3 1/4.

1. 8 3/4

2. 9 1/8

3. 9 1/4

4. 8 1/4

Answer: 2

Rationale:

Convert both denominators to 8 then add 5 7/8 + 3 2/8 = 8 9/8 = 9 1/8

63. Add 6 1/2 and 2 3/8.

1. 8 7/8

2. 9

3. 8 12/16

4. 9 1/4

Answer: 1

Rationale:

Convert both denominators to 8 then add 6 4/8 + 2 3/8 = 8 7/8

64. Add 3 3/4 and 7 1/2.

1. 10 1/4

2. 10 3/4

3. 11 1/2

4. 11 1/4

Answer: 4

Rationale:

Convert both denominators to 4 then add: 3 ¾ + 7 2/4 = 10 5/4 or 11 1/4

65. Subtract 1 3/4 from 2 3/8.

1. 1 3/8

2. 1 5/8

3. 5/8

4. 1

Answer: 3

Rationale:

Convert both denominators to 8, then subtract 2 3/8 – 1 6/8 = 5/8

66. Subtract 1½ from 4 3/4.

1. 4 1/4

2. 3 1/2

3. 2 3/4

4. 3 1/4

Answer: 4

Rationale:

Convert both denominators to 4, then subtract 4 ¾ – 1 2/4 = 3 ¼

67. Subtract 2 7/8 from 7 1/4.

1. 5 5/8

2. 4 5/8

3. 4 3/8

4. 5 3/8

Answer: 3

Rationale:

Convert both denominators to 8 then subtract 7 2/8 – 2 7/8

68. Solve the following problem and write the answer in lowest terms: 16/21 × 7/8 × 1/2.

1. 112/336

2. 64/147

3. 1/3

4. 1 109/147

Answer: 3

Rationale:

Cancel before multiplying yielding 1/3

69. Solve the following problem and write the answer as a mixed number in lowest terms: 7/8

× 3/4 × 3/16.

1. 63/576

2. 7/64

3. 7/64

4. 63/512

Answer: 4

Rationale:

Multiply the numerators (7 × 3 × 3) = 63. Multiply the denominators (8 × 4 × 16) = 512 and

place the numerator over the denominator yielding 63/512.

70. Solve the following problem and write the answer in lowest terms: 3/5 × 4/15 × 25/24.

1. 300/1,800

2. 30/180

3. 3/18

4. 1/6

Answer: 4

Rationale:

Cancel before multiplying yielding 1/6

71. Solve the following problem and write the answer as a mixed number in lowest terms:

8/11 ÷ 4/9.

1. 36/99

2. 2/11

3. 1 7/11

4. 1 28/44

Answer: 3

Rationale:

Invert the second fraction and multiply (8/11 × 9/4 = 18/11) and change to 1 7/11

72. Solve the following problem and write the answer in lowest terms: 3/4 ÷ 7/8.

1. 21/32

2. 24/32

3. 6/7

4. 24/28

Answer: 3

Rationale:

Invert the second fraction and multiply.

73. Solve the following problem and write the answer as a whole number or fraction in the

lowest terms: 3/200 ÷ 11/300.

1. 9/22

2. 3/7

3. 33/6,000

4. 900/2,200

Answer: 1

Rationale:

Invert the second fraction and multiply.

74. Simplify the following complex fraction: 3/4 / 7/8

1. 1/2

2. 2/3

3. 3/4

4. 6/7

Answer: 4

Rationale:

Write as a division problem: ¾ ÷ 7/8 invert the second fraction and multiply: ¾ × 8/7 = 6/7

75. Simplify the following complex fraction: 4/5 / 8/9

1. 2/35

2. 9/10

3. 36/40

4. 32/45

Answer: 2

Rationale:

Write as a division problem: 4/5 ÷ 8/9, invert the second fraction and multiply.

76. Simplify the following complex fraction: 1/4 / 1/2

1. 1/8

2. 1/4

3. 2

4. 1/2

Answer: 4

Rationale:

Write as a division problem: 1/4 ÷ 1/2, invert the second fraction and multiply.

77. Simplify the following complex fraction and write as a mixed number in lowest terms:

4/5 / 3/4

1. 1 1/15

2. 3/5

3. 16/15

4. 12/20

Answer: 1

Rationale:

Write as a division problem: 4/5 ÷ 3/4, invert the second fraction and multiply.

78. Simplify the following complex fraction and write in lowest terms: 1/2 / 3/4

1. 3/8

2. 4/6

3. 2/3

4. 1 1/3

Answer: 3

Rationale:

Write as a division problem: 1/2 ÷ 3/4, invert the second fraction and multiply.

79. What is 32% of 25?

1. 800

2. .78

3. 7.8

4. 8

Answer: 4

Rationale:

Multiply 0.32 by 25 yielding 8

80. What is 20% of 19?

1. 38

2. 3.8

3. 98

4. 0.95

Answer: 2

Rationale:

Multiply 0.2 by 19 yielding 3.8

81. What is 80% of 110?

1. 88

2. 1.375

3. 0.72

4. 8800

Answer: 1

Rationale:

Multiply 0.8 by 110 yielding 88

82. What is 0.87% of 30?

1. 26.1

2. 0.261

3. 2.9

4. 0.34

Answer: 2

Rationale:

Multiply 0.0087 by 30 yielding 0.261

83. What is 20% of 50?

1. 0.4

2. 100

3. 10

4. 2.5

Answer: 3

Rationale:

Multiply 0.2 by 50 yielding 10

84. The client was taking 250 mg of ampicillin every six hours. The doctor increased the

dosage to 400 mg every six hours. What percentage of change was made in the dosage?

______%

Answer: 60

Rationale:

Fraction of change = change in dose/old dose = 150/250 = .6, or 60% increase in dosage.

85. The client's dosage of Lanoxin (digoxin) was changed from 0.125 mg to 0.5 mg. What

percentage was the dosage increased?

1. 0.25 %

2. 40%

3. 400%

4. 300%

Answer: 4

Rationale:

Fraction of change = change in dose/old dose = 0.375/0.125 = 3 0r 300% increase in dosage.

86. A dosage is changed from 4 mg per day to 6 mg per day. Find the percentage of increase.

1. 150%

2. 67%

3. 50%

4. 33%

Answer: 3

Rationale:

Fraction of change = change in dose/old dose = 2/4 = .5 or 50% increase in dosage.

87. The old price was $19.95. The sale price is $11.97. What is the percentage discount?

1. 20%

2. 40%

3. 60%

4. 80%

Answer: 2

Rationale:

Fraction of discount = Change in price/old price = 7.98/19.95 = 0.4 or 40%

88. The client's dosage of Tenormin (atenolol) is reduced from 75 mg to 60 mg. What is the

percentage decrease?

1. 67%

2. 15%

3. 150%

4. 20%

Answer: 4

Rationale:

Fraction of change = change in dose/old dose = 15/75 = .2 or 20% decrease in dosage.

89. A dosage is changed from 12 mg per day to 9 mg per day. What is the percentage

decrease?

1. 25%

2. 13%

3. 75%

4. 33%

Answer: 1

Rationale:

Fraction of change = change in dose/old dose = 3/12 = .25 or 25% decrease in dosage.

Test Bank for Dosage Calculations: A Multi-Method Approach

Anthony Patrick Giangrasso, Dolores M. Shrimpton

9780132158626